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132471164 = 22741257449
BaseRepresentation
bin1111110010101…
…01100101111100
3100020021020021102
413321111211330
5232403034124
621051152232
73165662210
oct771254574
9306236242
10132471164
116885a601
1238445678
13215a2507
1413844940
15b96aaae
hex7e5597c

132471164 has 48 divisors (see below), whose sum is σ = 273067200. Its totient is φ = 55050240.

The previous prime is 132471151. The next prime is 132471169. The reversal of 132471164 is 461174231.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132471169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294812 + ... + 295260.

It is an arithmetic number, because the mean of its divisors is an integer number (5688900).

Almost surely, 2132471164 is an apocalyptic number.

132471164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132471164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136533600).

132471164 is an abundant number, since it is smaller than the sum of its proper divisors (140596036).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132471164 is a wasteful number, since it uses less digits than its factorization.

132471164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 756 counting only the distinct ones).

The product of its digits is 4032, while the sum is 29.

The square root of 132471164 is about 11509.6118092662. The cubic root of 132471164 is about 509.7694254394.

The spelling of 132471164 in words is "one hundred thirty-two million, four hundred seventy-one thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 41 82 164 257 287 449 514 574 898 1028 1148 1796 1799 3143 3598 6286 7196 10537 12572 18409 21074 36818 42148 73636 73759 115393 128863 147518 230786 257726 295036 461572 515452 807751 1615502 3231004 4731113 9462226 18924452 33117791 66235582 132471164